3522220800 has 432 divisors, whose sum is σ = 13504135680. Its totient is φ = 791838720.

The previous prime is 3522220789. The next prime is 3522220811. The reversal of 3522220800 is 80222253.

It is an interprime number because it is at equal distance from previous prime (3522220789) and next prime (3522220811).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9811021 + ... + 9811379.

Almost surely, 2^3522220800 is an apocalyptic number.

3522220800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3522220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6752067840).

3522220800 is an abundant number, since it is smaller than the sum of its proper divisors (9981914880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3522220800 is a wasteful number, since it uses less digits than its factorization.

3522220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3522220800 is about 59348.3007338879. The cubic root of 3522220800 is about 1521.5008260209.

The spelling of 3522220800 in words is "three billion, five hundred twenty-two million, two hundred twenty thousand, eight hundred".